摘要
本文利用Ｍａｃｗｉｌｌｉａｍｓ－Ｄｅｌｓａｒｔｅ恒等式给出Ｐｌｏｔｋｉｎ界和Ｇｒｅｙ－Ｒａｎｋｉｎ界的新的证明。实际上，本文的方法可以推导出更强的结果。本文还推导出Ｇｒｅｙ－Ｒａｎｋｉｎ界等号成立的充要条件。
By using Macwilliams- Delsarte identity, this paper presents new proofs for the Plotkin bound and the Grey-Rankin bound in coding theory. Acturally it derives some more stronger results than them. This paper also presents the sufficient and necessary condition for the codes which meet the Grey-Rankin bound.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
1994年第4期37-43,共7页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
国家教委优秀年青教师基金
关键词
编码理论
距离分布
Plotkin界
G-R界
coding theory
distance distribution
Plotkin bound
Grey-Rankin bound Macwilliams-Delsarte identity
